Use the table to answer the question. Hours Number of Bacteria 0 20 million 4 22 million 8 25 million 12 28 million 16 32 million 20 36 million 24 40 million 28 45 million The scatterplot of these data, when graphed, reveals what relationship between hours and the number of bacteria? Explain. The scatterplot reveals that hours and number of bacteria have a strong exponential relationship since the points closely follow an exponential curve. Since the number of bacteria increases as time increases, the relationship is negative. The scatterplot reveals that hours and number of bacteria have a strong exponential relationship since the points closely follow an exponential curve. Since the number of bacteria increases as time increases, the relationship is positive. The scatterplot reveals that hours and number of bacteria have a strong linear relationship since the points closely follow a line. Since the number of bacteria increases as time increases, the relationship is negative. The scatterplot reveals that hours and number of bacteria have a strong linear relationship since the points closely follow a line. Since the number of bacteria decreases as time increases, the relationship is negative.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Use the table to answer the question.
| Hours | Number of Bacteria |
|---|---|
| 0 | 20 million |
| 4 | 22 million |
| 8 | 25 million |
| 12 | 28 million |
| 16 | 32 million |
| 20 | 36 million |
| 24 | 40 million |
| 28 | 45 million |
The scatterplot of these data, when graphed, reveals what relationship between hours and the number of bacteria? Explain.
-
The scatterplot reveals that hours and number of bacteria have a strong exponential relationship since the points closely follow an exponential curve. Since the number of bacteria increases as time increases, the relationship is negative.
-
The scatterplot reveals that hours and number of bacteria have a strong exponential relationship since the points closely follow an exponential curve. Since the number of bacteria increases as time increases, the relationship is positive.
-
The scatterplot reveals that hours and number of bacteria have a strong linear relationship since the points closely follow a line. Since the number of bacteria increases as time increases, the relationship is negative.
-
The scatterplot reveals that hours and number of bacteria have a strong linear relationship since the points closely follow a line. Since the number of bacteria decreases as time increases, the relationship is negative.
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